Synchronization and Maximum Lyapunov Exponents of Cellular Automata

@inproceedings{Bagnoli1999SynchronizationAM,
  title={Synchronization and Maximum Lyapunov Exponents of Cellular Automata},
  author={Franco Bagnoli and Ra{\'u}l Rechtman},
  year={1999}
}
We study the synchronization of totalistic one dimensional cellular automata (CA). The CA with a non zero synchronization threshold exhibit complex non periodic space time patterns and conversely. This synchronization transition is related to directed percolation. We study also the maximum Lyapunov exponent for CA, defined in analogy with continuous dynamical systems as the exponential rate of expansion of the linear map induced by the evolution rule of CA, constructed with the aid of the… CONTINUE READING

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